Amores Lázaro, Ángel Miguel and Gutierrez, M. (2001) Construction of examples of b-completion. Nonlinear analysis-theory methods & applications, 47 (5, Part 5). pp. 2959-2970. ISSN 0362-546X
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Official URL: http://www.sciencedirect.com/science/article/pii/S0362546X01004175
Abstract
We survey some techniques for constructing b-completions. First, we give general results relating the b-completion of a product to the b-completion of its factors, the b-completion of a quotient, and the dependence of the b-completion on the bundle chosen to form it. Second, we relate (when possible) some b-completions to those of Riemannian metrics, and study invariant connections on homogenous spaces. Some particular examples are also considered.
| Item Type: | Article |
|---|---|
| Additional Information: | 3rd World Congress of Nonlinear Analysts,JUL 19-26, 2000, Catania, Italy |
| Uncontrolled Keywords: | B-completion; Homogeneus reductive spaces; Singularity |
| Subjects: | Sciences > Mathematics > Algebraic geometry |
| ID Code: | 14708 |
| References: | [1] A. M. Amores, On the b-Completion of Certain Quotient Spaces. Lett. Math. Phys. 15, 341-343 (1988). [2J A. M. Amores, M. Gutiérrez. Singularities of Invariant Connections. Gen. Relativity Gravitation. 24, 1235-1253 (1992). [3J A. M. Amores, M. Gutiérrez. The b-completion of the Friedmann space. J. Geom. Phys. 29, 177-197 (1999). [4] B. Bosshard. On the b-Boundary ofthe Closed Friedmann-Model. Comm. Math. Phys. 46, 263-268 (1976). [5J C. J. T. Dodson, L. J. Sulley. The b-boundary of §l with a constant connection. Lett. Math. Phys. 1, 301-307 (1976). [6J H. Friedrich. Construction and properties of Space-Time b-Boundaries. Gen. Relativity Gravitation. 5,681-697 (1974). [7J R. Geroch. What is a Singularity in General Relativity? Ann. Physics. 48, 526-540 (1968). [8J J. Gruszczak, M. Heller, Z. Pogoda. Cauchy Boudary and b-Incompleteness of Space-Time. International Journal of Theoretical Physics. 30, 555-565 (1991). [9J S. W. Hawking, G.F.R. Ellis. The Large-Scale Structure of Spacetime. University Press, Cambridge, (1973). [10J R. A. Johnson. The bundle boundary in sorne special cases. J. Math. Phys. 18, 898-902 (1977). [l1J H. T. Laquer. Invariant affine connections on Lie Groups. Trans. AMS 331, 541-551 (1992). [12J H. T. Laquer. Invariant affine connections on homogeneous spaces. Proc. AMS 115,447-454 (1992). [13J R. K. Sachs. Spacetime b-Boundaries. Comm. Math. Phys. 33, 215-220 (1973). [14] B. G. Schmidt. A New Definition of Singular Points in General Relativity. Gen. Relatívity Gravítatíon. 1, 269-280 (1971). [15] B. G. Schmidt. The local b-completeness of Space-times. Comm. Math. Phys. 29, 49-54 (1973). |
| Deposited On: | 17 Apr 2012 12:20 |
| Last Modified: | 17 Apr 2012 12:20 |
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